A thread is wrapped around a cylindrical spool, of radius R = 2.0 cm, whose central axis is fixed on a support. Somebody’s hand pulls the thread off the spool. This causes the spool to rotate. The acceleration of the person’s hand is constant. Starting from rest, it takes 10 seconds for 5.0 meters of thread to be pulled off. What is the angular speed of the spool at time t = 2.0 s?
Q: A wheel 30 cm in diameter accelerates uniformly from 250 rpm to 380 rpm in 6.2 s .How far will a…
A: The objective of the question is to find out the distance traveled by a point on the edge of the…
Q: A drill, at its highest speed, rotates at 6500 rpm. If the drill takes 0.590 s to go from rest to…
A:
Q: There is a clever kitchen gadget for drying lettuce leaves after you wash them. It consists of a…
A: Radius (R) = 12 cm Angular velocity (ω) = 2.67 revs= 2.67×2π rads= 16.77 rads
Q: A ferris wheel is rotating clockwise at an angular speed of 1.83 rpm. When the ride operator…
A:
Q: There is a clever kitchen gadget for drying lettuce leaves after you wash them. It consists of a…
A: Given:Angular velocity of the cylinder = 1.36 rev per secondRadius of the cylinder, R = 11.4 cm =…
Q: A disk spins with a non-constant angular velocity given by: w(t) = Bt³ where B is a positive…
A:
Q: n 2010, the Sikorsky's X2 helicopter became the world's fastest helicopter, flying at 249 miles per…
A:
Q: Starting from rest, a wheel with a radius of 0.6 m begins to roll across the ground in a straight…
A: Radius of Wheel R = 0.6 m Angular acceleration α = 4.49 rad/s2 Number of revolutions = 15 Initial…
Q: A child sits on a merry‑go‑round that has a diameter of 4.00 m. The child uses her legs to push the…
A: Given: Diameter (d) = 4 m Angular speed (wf) = 16 rpm time (t) = 42…
Q: A circular disk of radius 2.0 m rotates, starting from rest, with a constant angular acceleration of…
A:
Q: A child sits on a merry‑go‑round that has a diameter of 5.00 m. The child uses her legs to push the…
A: Initial angular speed (ω0)=0rad/sAngular speed after 45s(ω)=17rpm=17×2π60s=1.78rad/s∴ Average…
Q: Jennifer decided to install a ceiling fan in the master bedroom. After a laborious installation, she…
A: initial angular speed (w) = 0 final angular speed = 120 rev/min = 2 rev/sec = 12.57 rad/s t = 20…
Q: 1. The blades of a fan running at low speed turn at 290 rpm. When the fan is switched to high speed,…
A:
Q: Helicopter blades withstand tremendous stresses. In addition to supporting the weight of a…
A:
Q: While placing a compact disc into a CD player, you notice a small chip on its edge. You attempt to…
A: Given Data: The position of CD is θ0=11.3°. The angular acceleration is α=2.49 rad/s2. The time…
Q: There is a CD-rom that's spinning a CD at 2,000 rpm. There is a bit of dirt, weighing 0.220 g,…
A:
Q: disk of radius 4.00 m spins with an angular speed of 90.0 degrees/second. What is the speed of the…
A:
Q: floor polisher has a rotating disk that has a 20-cm radius. The disk rotates at a constant angular…
A:
Q: A circular flywheel, with a diameter of 21 cm, accelerates uniformly from 22 rpm to 73 rpm in 2.3 s.…
A: diameter of flywheel (d) = 21 cm Radius of flywheel (R) = 10.5 cm Initial angular velocity = 22 rpm…
Q: An amusement park ride rotates around a fixed axis such that the angular position of a point on the…
A: Write the given values. θt=a+bt2-ct3a=1.1 radb=0.45 rad/s2c=0.045 rad/s3
Q: A child is swinging a 0.300-kg ball on a string. She is swinging it in a circle with an angular…
A:
Q: The differential gear of a car axle allows the wheel on the left side of a car to rotate at a…
A:
Q: A ceiling fan rotates at the rate of 30 degrees every .63 seconds. What is the angular speed of the…
A:
Q: The propeller of an aircraft accelerates from rest with an angular acceleration ? = 3t + 9, where ?…
A:
Q: Starting from rest, a wheel with a radius of 0.58 m begins to roll across the ground in a straight…
A: We shall use the rotational kinematic equation to solve this problem ωf2=ωi2+2αθwhereωf is the final…
Q: Son Goku whirled Gohan during their training. Gohan’s height is 1.76 m while Son Goku’s armlength is…
A: Given data: The height of Gohan is h=1.76 m. The arm length of Son Goku is x=2.00 m. Rotational…
Q: There is a clever kitchen gadget for drying lettuce leaves after you wash them. It consists of a…
A:
Q: Starting from rest, a wheel with a radius of 0.52 m begins to roll across the ground in a straight…
A: radius (r) = 0.52 m angular acceleration (α) = 3.95 rads2number of revolutions = 15initial angular…
Q: There is a clever kitchen gadget for drying lettuce leaves after you wash them. It consists of a…
A: Given The radius of the container is r = 11.2 cm = 11.2 x 10-2 m. The frequency of the rotating…
Q: A propeller blade at rest starts to rotate from t = 0 s to t = 5.0 s with a tangential acceleration…
A: Given: The tangential acceleration of the tip of the blade = 3.00 m/s2, the tip of the…
Q: There is a clever kitchen gadget for drying lettuce leaves after you wash them. It consists of a…
A: Radius of the container r=10.1 cm = 0.101 mRotating speed of cylinder= 2.96 revolutions per second
Q: A disk (mass = 4.06 kg and radius 0.567 m) is rotating at 649.9 rpm. How much force (magnitude…
A:
Q: What is the magnitude of the average angular velocity of the eye?
A:
Q: A commercial jetliner, starting from rest, accelerates down the runway and attains a linear speed of…
A:
Q: being tested in a centrifuge. The centrifuge has a radius of 9.90 m and, in starting, rotates…
A:
Q: computer hard disk starts from rest, then speeds up with an angular acceleration of 190 rad/s2 until…
A: Using equation of motion for angular variables, we can get the desired answers.
Q: The propeller of an aircraft accelerates from rest with an angular acceleration ? = 3t + 9, where ?…
A:
Q: A .38 kg mass tied to the end of a 0.3m long string is pulled in a circle by If it is moving with an…
A: Given:- Mass m= 0.38 kg The length of the string L = 0.3 m The angular speed ω= 9.3 rad/sec…
A thread is wrapped around a cylindrical spool, of radius R = 2.0 cm, whose central axis is fixed on a support. Somebody’s hand pulls the thread off the spool. This causes the spool to rotate. The acceleration of the person’s hand is constant. Starting from rest, it takes 10 seconds for 5.0 meters of thread to be pulled off. What is the angular speed of the spool at time t = 2.0 s?
Step by step
Solved in 2 steps with 2 images
- The world's tallest Ferris wheel is the High Roller in Las Vegas, NV. It has a radius of about 79 m If the ride time is 8 minutes (480 s), then how many revolutions does the wheel make and how many radians has it rotated?A centrifuge in a medical laboratory rotates at an angular velocity of 3600 rev/min. When switched off, it rotates through 50.0 revolutions before coming to rest. Find the constant angular acceleration (in rad/s2) of the centrifuge.A grindstone of radius 4.0 m is initially spinning with an angular speed of 8.0 rad/s. The angular speed is then increased to 12 rad/s over the next 4.0 seconds. Assume that the angular acceleration is constant. What is the magnitude of the angular acceleration of the grindstone?
- The differential gear of a car axle allows the wheel on the left side of a car to rotate at a different angular speed than the wheel on the right side. A car is driving at a constant speed around a circular track on level ground, completing each lap in 21.0 s. The distance between the tires on the left and right sides of the car is 1.00 m, and the radius of each wheel is 0.370 m. What is the difference between the angular speeds of the wheels on the left and right sides of the car? Number i UnitsA centrifuge in a medical laboratory rotates at an angular speed of 3,650 rev/min. When switched off, it rotates through 52.0 revolutions before coming to rest. Find the constant angular acceleration (in rad/s2) of the centrifuge.rad/s2 =The ability of the human eye to rapidly rotate was studied using contact lenses fitted with accelerometers. While a subject, whose eyeball has radius 1.25 cm, watches a moving object her eyeball rotates through 20.0° in a time interval of 69.6 ms. a. What is the magnitude of the average angular velocity of the eye? asnwer in rad/s b. Assume that the eye starts at rest, rotates with a constant angular acceleration during the first half of the interval, and then the rotation slows with a constant angular acceleration during the second half until it comes to rest. What is the magnitude of the angular acceleration of the eye? answer in rad/s^2 c. What tangential acceleration would the contact-lens accelerometers record in this case? answer in m/s^2
- A ceiling fan with 65.0 cm diameter blades is turning at 45.0 rpm. Suppose the fan coasts to a stop 35.0 seconds after being turned off.Assuming the fan is slowing down at a constant rate, what is the angular acceleration (in rad/s/s) of the fan? What is the fan's angular velocity (in rad/s) 20 seconds after being turned off? What is the speed of the tip of the blade (in m/s) 20 seconds after being turned off? Through how many revolutions does the fan turn while stopping?As you drive down the road at 18 m/s, you press on the gas pedal and speed up with a uniform acceleration of 1.07 m/s2 for 0.60 s. If the tires on your car have a radius of 33 cm, what is their angular displacement during this period of acceleration?The cable lifting an elevator is wrapped around a 1.0-m-diameter cylinder that is turned by the elevator’s motor. The elevator is moving upward at a speed of 1.6 m/s. It then slows to a stop as the cylinder makes one complete turn at constant angular acceleration. How long does it take for the elevator to stop?
- A brake is applied to a rotating wheel, initially moving counterclockwise, causing it to slow down with a constant angular acceleration of magnitude 5.20 rad/s2. Immediately after the brake is applied, the wheel rotates through 55.4 rad during a 3.80 s time interval. What is the angular speed (in rad/s) of the wheel at the end of this time interval? rad/sStarting from rest, a wheel with a radius of 0.58 m begins to roll across the ground in a straight line under a constant angular acceleration of 4.74 rad/s2. What is the speed of the wheel in m/s after it has rotated through 16 full revolutions?The end of the cutting cord on a gas-powered weed cutter is 0.21 m in length. If the motor starts from rest and accelerates with an angular acceleration of 52 rad/s² for 1.82 s then continues with uniform angular velocity. What is the rpm of the cutting cord after the 1.82 s?